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Finding the Third Proportional to 20,088.75 and 38,354.25

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Solution

The third proportional to 20,088.75 and 38,354.25 is: 73,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,088.75 : 38,354.25 = 38,354.25 : x
  2. Step 2: Convert to fraction form
    20,088.75/38,354.25 = 38,354.25/x
  3. Step 3: Cross multiply
    20,088.75x = 38,354.25 × 38,354.25
  4. Step 4: Simplify right side
    20,088.75x = 1,471,048,493.06
  5. Step 5: Solve for x
    x = 1,471,048,493.06/20,088.75
  6. Step 6: Final answer
    x = 73,227.48

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.